The 23-year-old Argentine was arguably the best defender in the latest Eredivisie season after joining last year.
Feyenoord hope to keep Senesi but are having to deal with huge interest in the former San Lorenzo man.
Ligue 1 side Rennes have Senesi on their shortlist and Gian Piero Gasperini’s impressive Atalanta are putting thought into a move for him.
Feyenoord could expect to receive more than double what they paid for Senesi, a €7m signing.
He made 25 appearances in all competitions this season, scoring three goals.
Senesi is hoping for an Argentina call-up soon and a big move could help him achieve that goal.